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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/2215

Title: Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampere equations
Authors: Moser, J.
Veselov, A.P.
Issue Date: 2002
Publisher: © Cambridge University Press
Citation: MOSER and VESELOV, 2002. Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampere equations. Ergodic theory and dynamical systems, 22, pp. 1575–1583
Abstract: An integrable discrete-time Lagrangian system on the group of area-preserving plane diffeomorphisms SDiff (R2) is considered. It is shown that non-trivial dynamics exists only for special initial data and the corresponding mapping can be interpreted as a Backlund transformation for the (simple) Monge–Ampere equation. In the continuous limit, this gives the isobaric (constant pressure) solutions of the Euler equations for an ideal fluid in two dimensions. In the Appendix written by E. V. Ferapontov and A. P. Veselov, it is shown how the discrete system can be linearized using the transformation of the simple Monge–Ampere equation going back to Goursat.
Description: This article was published in the journal, Ergodic theory and dynamical systems [© Cambridge University Press] and is available at: http://journals.cambridge.org/action/displayJournal?jid=ETS .
URI: https://dspace.lboro.ac.uk/2134/2215
ISSN: 0143-3857
Appears in Collections:Published Articles (Maths)

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